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Existence of a competitive equilibrium in one sector growth model with heterogeneous agents and irreversible investment

  • Cuong LE VAN

    (CNRS, CERSEM, Université Paris 1, France)

  • Yiannis VALAKIS

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

We prove existence of a competitive equilibrium in a version of a Ramsey (one sector) model in which agents are heterogeneous and gross investment is constrained to be non negative. We do so by converting the infinite-dimensional fixed point problem stated in terms of prices and commodities into a finite-dimensional Negishi problem involving individual weights in a social value function. This method allows us to obtain detailed results concerning the properties of competitive equilibria. Because of the simplicity of the techniques utilized our approach is amenable to be adapted by practitioners in analogous problems often studied in macroeconomics

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Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2001018.

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Length: 35
Date of creation: 01 Sep 2001
Date of revision:
Handle: RePEc:ctl:louvir:2001018
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  9. Barro, Robert J, 2000. " Inequality and Growth in a Panel of Countries," Journal of Economic Growth, Springer, vol. 5(1), pages 5-32, March.
  10. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
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  12. Heckman, James J, 1976. "A Life-Cycle Model of Earnings, Learning, and Consumption," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages S11-44, August.
  13. Perotti, Roberto, 1996. " Growth, Income Distribution, and Democracy: What the Data Say," Journal of Economic Growth, Springer, vol. 1(2), pages 149-87, June.
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